which one of te following is an irrational number ? (a. root 4 (b. 3 root8 (c. root hundred (d. minus root zeropoint six four
Answers
a]
√4 = 2 because 2^2 = 4.
2 is an integer and thus a rational number.
b]
The number √3 is irrational ,it cannot be expressed as a ratio of integers a and b.
It has a perfect square in it, but it's not a perfect square in and of itself. So the square root of eight is an irrational.
c]
root 100 is not an irrational number.
Because root 100 =10 And 10 is a rational number because it can be written in the form p/q as 10/1 where p and q are integers and q is not equal to 0.
d]
I think -0.8 square is the answer.
Therefore '√8' is the required irrational number. ( Option-b )
Given:
Options:
(a.) √4
(b.) √8
(c.) √100
(d.) -√0.64
To Find:
Which of the given options is an irrational number.
Solution:
The given question can be easily solved as shown below.
Irrational Number: An Irrational number is a number that cannot be represented as a fraction that is the decimal places are not ending.
Option-(a.):
The value of √4 = 2
Option-(b.):
The value of √8 = 2.82842712475
Option-(c.):
The value of √100 = 10
Option-(d.):
The value of -√0.64 = -0.8
In '√8' the decimal places are not ending so it is an irrational number.
Therefore '√8' is the required irrational number.
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